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2266642404 = 22321379101607
BaseRepresentation
bin1000011100011010…
…0011011111100100
312211222002100211200
42013012203133210
514120230024104
61012530002500
7110112066615
oct20706433744
95758070750
102266642404
11a63507a94
12533116430
132a1795b30
14177067c0c
15d3ed2b39
hex871a37e4

2266642404 has 144 divisors (see below), whose sum is σ = 6320670720. Its totient is φ = 680659200.

The previous prime is 2266642393. The next prime is 2266642409. The reversal of 2266642404 is 4042466622.

2266642404 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22666424042 = 10275335575221798432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2266642409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3733869 + ... + 3734475.

Almost surely, 22266642404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2266642404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3160335360).

2266642404 is an abundant number, since it is smaller than the sum of its proper divisors (4054028316).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2266642404 is a wasteful number, since it uses less digits than its factorization.

2266642404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 2266642404 is about 47609.2680473036. The cubic root of 2266642404 is about 1313.5935371875.

The spelling of 2266642404 in words is "two billion, two hundred sixty-six million, six hundred forty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 79 101 117 156 158 202 234 237 303 316 404 468 474 606 607 711 909 948 1027 1212 1214 1313 1422 1818 1821 2054 2428 2626 2844 3081 3636 3642 3939 4108 5252 5463 6162 7284 7878 7891 7979 9243 10926 11817 12324 15756 15782 15958 18486 21852 23634 23673 23937 31564 31916 36972 47268 47346 47874 47953 61307 71019 71811 94692 95748 95906 103727 122614 142038 143622 143859 183921 191812 207454 245228 284076 287244 287718 311181 367842 414908 431577 551763 575436 622362 623389 735684 796991 863154 933543 1103526 1244724 1246778 1593982 1726308 1867086 1870167 2207052 2390973 2493556 3187964 3734172 3740334 4781946 4843253 5610501 7172919 7480668 9563892 9686506 11221002 14345838 14529759 19373012 22442004 28691676 29059518 43589277 58119036 62962289 87178554 125924578 174357108 188886867 251849156 377773734 566660601 755547468 1133321202 2266642404